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Finding the Third Proportional to 85,409 and 124,821

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Solution

The third proportional to 85,409 and 124,821 is: 182,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409 : 124,821 = 124,821 : x
  2. Step 2: Convert to fraction form
    85,409/124,821 = 124,821/x
  3. Step 3: Cross multiply
    85,409x = 124,821 × 124,821
  4. Step 4: Simplify right side
    85,409x = 15,580,282,041
  5. Step 5: Solve for x
    x = 15,580,282,041/85,409
  6. Step 6: Final answer
    x = 182,419.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.